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Task - Illustrative Mathematics
Task - Illustrative Mathematics

Lesson 2.4. Parallel Lines
Lesson 2.4. Parallel Lines

... 3. Describe the relation between lines l and m. 4. Mark a new point on l. Label it P. 5. Fold the paper through point P so that the line overlaps with itself. Label the new crease as line n. 6. What is the relation between line m and line n? ...
Geometry Standard HS Mathematics
Geometry Standard HS Mathematics

Congruence Shortcuts GSP
Congruence Shortcuts GSP

Lab 1 Assignment
Lab 1 Assignment

Triangle Congruence: ASA, AAS, and HL
Triangle Congruence: ASA, AAS, and HL

... given that M is the _ midpoint of NL ...
Eng
Eng

Math 135 Section 5.1 notes
Math 135 Section 5.1 notes

Mathematics | High School—Geometry
Mathematics | High School—Geometry

Lines and Angles Lesson Plan
Lines and Angles Lesson Plan

Sect 2-1 Conditional Statements
Sect 2-1 Conditional Statements

1.4 Angles and Their Measures
1.4 Angles and Their Measures

The Triangle-Sum Property The Triangle-Sum Property
The Triangle-Sum Property The Triangle-Sum Property

... Angles that form linear pairs with interior angles of a polygon are exterior angles of the polygon. In the diagram in Example 3, ∠ ABC, ∠BCA, and ∠CAB are interior angles. ∠DAC, ∠CBE, and ∠ACF are exterior angles. ...
Math Grade 10 - Berkeley County Schools
Math Grade 10 - Berkeley County Schools

... bisector of a line segment are exactly those equidistant from the segment’s endpoints. Implementation may be extended to include concurrence of perpendicular bisectors and angle bisectors as preparation for M.2HS.C.3. ...
Geometry. - SchoolNova
Geometry. - SchoolNova

Math 3372-College Geometry
Math 3372-College Geometry

... to the corresponding two sides and included angle of the other, the triangles are congruent. ASA: If two triangles have two angles and the included side of one congruent, respectively, to the corresponding two angles and included side of the other, the triangles are congruent. SSS: If two triangles ...
Illustrative Mathematics
Illustrative Mathematics

... the leg is arranged by using the diameter of a circle for the hypotenuse and the radius of a congruent circle for the leg. This task implements many important ideas from geometry including trigonometric ratios, important facts about triangles, and reflections if students choose to view ...
Geometry. - SchoolNova
Geometry. - SchoolNova

SBCUSD Grade 4 Benchmark 3 Mathematics Curriculum and
SBCUSD Grade 4 Benchmark 3 Mathematics Curriculum and

Sample: Geometry - Scholl Geometry Exam 1
Sample: Geometry - Scholl Geometry Exam 1

Ch. 7 Review Guide
Ch. 7 Review Guide

Ch. 7 Review Guide/Notes
Ch. 7 Review Guide/Notes

Non-Euclidean Geometries
Non-Euclidean Geometries

Drawing an Elliptical Arc
Drawing an Elliptical Arc

2 - Trent University
2 - Trent University

< 1 ... 316 317 318 319 320 321 322 323 324 ... 612 >

Rational trigonometry

Rational trigonometry is a proposed reformulation of metrical planar and solid geometries (which includes trigonometry) by Canadian mathematician Norman J. Wildberger, currently an associate professor of mathematics at the University of New South Wales. His ideas are set out in his 2005 book Divine Proportions: Rational Trigonometry to Universal Geometry. According to New Scientist, part of his motivation for an alternative to traditional trigonometry was to avoid some problems that occur when infinite series are used in mathematics. Rational trigonometry avoids direct use of transcendental functions like sine and cosine by substituting their squared equivalents. Wildberger draws inspiration from mathematicians predating Georg Cantor's infinite set-theory, like Gauss and Euclid, who he claims were far more wary of using infinite sets than modern mathematicians. To date, rational trigonometry is largely unmentioned in mainstream mathematical literature.
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